Which Function rule matches the graph below?
a. f(x) = x
b. f(x) = x-2
c. f(x) = x+2
d. f(x) = 2x
Answer:
Step-by-step explanation:
Vivian bought 6 bottles of cooking oil. She gave the cashier $40 and expected $y change. (a) express the cost of 1 bottle of cooking oil in terms of y. (b) if y=10, find the cost of 1 bottle of cooking oil. (c) if y=1, find the cost of 1 bottle of cooking oil.
Answer:
Part (a) The required equation is [tex]y=40-6x[/tex].
Part (b) If y=10, the cost of 1 bottle of cooking oil is $5.
Part (c) If y=1, the cost of 1 bottle of cooking oil is $6.5.
Step-by-step explanation:
Consider the provided information.
Let the cost of each bottle of cooking oil is $x.
Vivian bought 6 bottles of cooking oil.
Thus the cost of 6 bottles of cooking oil is 6x.
She gave the cashier $40 and expected $y change.
This can be written as:
[tex]y+6x=40[/tex]
Part (a) express the cost of 1 bottle of cooking oil in terms of y.
[tex]y+6x=40[/tex]
Subtract both sides by 6x.
[tex]y=40-6x[/tex]
The required equation is [tex]y=40-6x[/tex].
Part (b) if y=10, find the cost of 1 bottle of cooking oil.
Substitute the respective values in the above equation.
[tex]10=40-6x[/tex]
[tex]-30=-6x[/tex]
[tex]x=5[/tex]
If y=10, the cost of 1 bottle of cooking oil is $5.
Part (c) if y=1, find the cost of 1 bottle of cooking oil.
Substitute the respective values in the above equation.
[tex]1=40-6x[/tex]
[tex]-39=-6x[/tex]
[tex]x=6.5[/tex]
If y=1, the cost of 1 bottle of cooking oil is $6.5.
Please Help:
Reaner Recycling collected 7/4 ton of aluminum last Saturday. If 7/8 ton of aluminum can be shredded each day, how many days will it take to process what was collected on Saturday?
To tie-die on T-Shirt, 3/8 cup of dye is needed. The table shows the number of cups each color of die in Mr. Rodriguez's art class. How many T-Shirts will each flower bed contain.
Amount of dye
Color Number of cups
Red 12
Orange 3/4
Natasha is setting tiles along the baseboard in her bathroom. One side of the bathroom is 18 3/4 feet. Each tile is 1 1/2 feet long.
It will take 2 days to process the aluminum collected on Saturday. Each cup of dye can make 1/2 T-Shirt. Each flower bed can make 6 T-Shirts.
Explanation:Mathematics: Middle SchoolTo determine how many days it will take to process the aluminum collected on Saturday, we can divide the amount collected by the amount processed each day.
7/4 ton / 7/8 ton/day = (7/4) / (7/8) = 7/4 x 8/7 = 2 days.
Therefore, it will take 2 days to process the aluminum collected on Saturday.
To find out how many T-Shirts each cup of dye can make, we can divide the amount of dye needed for a T-Shirt by the amount of dye in each cup.
3/8 cup / (3/4) cup = (3/8) / (3/4) = 3/8 x 4/3 = 1/2 T-Shirt.
Therefore, each cup of dye can make 1/2 T-Shirt.
To find out how many T-Shirts each flower bed can make, we need to multiply the amount of dye in each color by the number of cups.
Red: 12 cups x 1/2 T-Shirt = 6 T-Shirts.
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5,253 divided bye 101
In performing the division of 5,253 by 101, the result comes out to be 52 with a remainder of 1.
Explanation:The student's question is asking for the result of dividing 5,253 by 101. To perform this division, you can use long division method.
Here's how you do it:
Write 5253 and 101 in a division bracket, with 5253 inside and 101 outside. To start, determine how many times 101 goes into 5253. This gives us 52 times.Multiply 101 by 52, which gives 5252. Subtract this from 5253 to get the remainder, which is 1.As we reached a remainder of 1, the division ends here and the final answer comes out to be 52 with a remainder of 1.This implies that 5,253 divided by 101 equals 52 with a remainder of 1.
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A bird flew from the ground onto a tree branch 5 feet above the ground. What could the bird do next that would make this situation a model of combining a number and its additive inverse?
A.
Fly down 5 feet and return to the ground.
B.
Fly 5 feet higher up onto another tree branch.
C.
Fly to a different tree branch 5 feet above the ground.
D.
Fly into an empty swimming pool 5 feet below ground level.
Answer:
Fly down 5 feet and return to the ground.
Step-by-step explanation:
We are given that A bird flew from the ground onto a tree branch 5 feet above the ground.
We are supposed to find What could the bird do next that would make this situation a model of combining a number and its additive inverse
Additive inverse - What you add to a number to get zero is additive inverse.
The negative of a number.
Now we are told What could the bird do next that would make this situation a model of combining a number and its additive inverse
Since it already flew 5 feet above the ground .
Additive inverse of 5 feet is -5 feet
So, to make the situation of combining a number and its additive inverse
Bird has to flew 5 feet return to the ground i.e.-5 feet
So, a model of combining a number and its additive inverse = 5+(-5)
Hence Option A is correct.
Fly down 5 feet and return to the ground.
Answer:
A is correct
Step-by-step explanation:
1. Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted.
Let m represent the weight of the boxes that Marco lifted.
Which expression represents the total number of pounds Drew lifted?
A. 9(m+8)
B. 112m
C. m−8
D. 14(m−8)
2. Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal.
Let p represent the refrigerator’s original price.
Which equation models this situation?
A. 0.15p=p−150
B. 0.15p=p+180
C. 0.85(p−150)=p
D. 0.85p=p−150
3. Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the distance in 1.5 h. Car B traveled 15 mph faster than Car A.
How fast did Car B travel?
(The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.)
Enter your answer for the box.
? mph
4. Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.
How many points was each multiple choice question worth?
Enter your answer in the box.
? points
5. In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account. Charlie said he increased the money in his account by 5%. When they compared their balances, they found that they were still equal.
How much money did they both have in their accounts in May?
Enter your answer in the box.
$?
Question 1
14 (m−8)
Question 2
0.85p = p-150
Question 3
60 mph
Question 4
5 points
Question 5
2800
I got all of these answers from doing the same test, and getting all of the questions correct. You are in UTVA right?
The perimeter of Square A is 24 linear units. The area of Square B is 4 times the area of Square A. What is the area of Square B? What is the perimeter of Square B?show your work
Answer:
area of Square B: 144 quadratic units
perimeter of Square B: 48 linear units
Step-by-step explanation:
The perimeter of a square is
perimeter = 4*L
where L is the length of each square side. For square A:
24 = 4*L
L = 24/4
L = 6 linear units
The area of a square is
area = L^2
For square A:
area = 6^2 = 36 quadratic units
The area of Square B is 4 times the area of Square A. So
area of Square B = 4*area of Square A
area of Square B = 4*36
area of Square B = 144 quadratic units
And the length of the sides of the square B can be computed as
area = L^2
L = sqrt(area)
L = sqrt(144)
L = 12 linear units
Therefore, the perimeter of square B is
perimeter = 4*L
perimeter = 4*12
perimeter = 48 linear units
For the line y = 2/3x, if the y-coordinate is 14, what is the x-coordinate?
A. 7
B. 14
C. 21
D. 3/2
(I think it's 21, show your work, don't answer unless you're 100% sure.)
Sandy is upgrading her internet service. Fast internet charges $60 for installation $50.45 per month. Quick internet has free installation but charges $57.95 per month write an equation that can be used to find the number of months for which the internet service would cost the same?
What is the relationship between 2.57×10^4 and 2.57×10^−1 ? Select from the drop-down menus to correctly complete the statement.
A)1000 B)Greater
10,000 Less than
100,000
1,000,000
Answer:
We have the numbers:
2.57×10^4 and 2.57×10^−1
The first thing we can see is that the first number exponent is 4, and the second number's exponent is -1, so the difference between is of 5.
If we calculate the quotient between the numbers we have:
(2.57×10^4)/( 2.57×10^−1) = (2.57/2.57)*(10^4/10^-1) = 1*10^(4 - (-1)) = 10^5
Then the first number is 10^5 times bigger than the second number, then the first number is 100,000 greater than the second one.
Balu and Pumba shared ½ of a cake. Balu got to eat twice as much cake as Pumba. What fraction of the whole cake did Balu eat?
Final answer:
Balu ate 1/3 of the whole cake.
Explanation:
To solve this problem, we can use the concept of fractions. Let's say Pumba ate x fraction of the cake. Then Balu ate twice as much as Pumba, which means Balu ate 2x fraction of the cake. Together, Pumba and Balu ate 1/2 of the cake. So we can add their fractions: x + 2x = 1/2. Combining the like terms, we get 3x = 1/2. To solve for x, we divide both sides of the equation by 3: x = 1/2 ÷ 3 = 1/6. Therefore, Balu ate 2x = 2 × (1/6) = 2/6 = 1/3 of the cake.
How to divide 2.07 by 0.9
It takes 3/4 yards of ribbon to make a bow how much ribbon is needed to make 7 bows
which properties are illustrated by these equations?
1/2 times 3/3 =3/6 2/3 times 3/2 =1
Help its due tomorrow!!!
HELP ASSAP WITH THIS QUESTION
What is the equation of the line shown in this graph?
Drag and drop the expressions to write the equation of the line in slope-intercept form.
y = __ + ___
choices : 4x , 2x , -x , -2x , 2 , 4 , -4 , -2
The equation of line is y = -1/2 x + 5/2 or x+ 2y = 5.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
The points from the Graph are (1, 2) and ( 4, -4).
So, the slope is
= (4-1)/(-4-2)
= 3/(-6)
= -1/2
and, using the slope intercept form
(y- 2)= m (x- 1)
y-2 = -1/2 ( x-1)
y-2 = -1/2x + 1/2
y= -1/2 x + 1/2 + 2
y = -1/2 x + 5/2
2y = -x + 5
x+ 2y = 5
Hence, the equation of line is y = -1/2 x + 5/2 or x+ 2y = 5.
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The "ACTUAL" answer is y = -2x + 4
what does the measure of B Equal?
What is missing for the following quantity to be true? 2x*5a*7 = 5a*2x*__
A. 5a
B. 2x
C. 7
D. 14
Thanks guys!
both sides have 2x & 5a, so both sides need 7
answer is C. 7
Bo paid bills with 1/2 of his paycheck and 1/5 of the reminder in savings. The rest of his paycheck he divided equally among the college accounts of his 3 kids. What fraction of his paycheck went into each child’s account?
Jeff bought a refrigerator for $1,300 he made a 10% down payment and finance the rest at 6% for one year how much interest did he pay?
This is a ratio brain teaser}} There are 4 suns and 6 moons. Write the simplest form that compares the numbers
GOOD LUCK!
The simplest form that compares the numbers 4 and 6 is 2:3.
Explanation:To write the simplest form of a ratio, we need to find the greatest common divisor (GCD) of the given numbers and divide both the numerator and denominator by it. In this case, the GCD of 4 and 6 is 2, so we divide both numbers by 2 to get the simplest form of the ratio. Therefore, the simplest form that compares the numbers 4 and 6 is 2:3.
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THE BEST ANSWER GETS BRAINLIEST
Jose made some pancakes. For every 6 cups of flour, he added 7 cups of milk. The ratio of flour to milk in Jose's pancakes is____.
Last week, Chen bought 812 gallons of gas at $2.30 per gallon. This week, he bought 4310 gallons of gas at $2.70 per gallon.
What was his total cost?
The total cost for the gas that was bought by Chen is $13504.60.
How to calculate the cost?Chen bought 812 gallons of gas at $2.30 per gallon. The cost for the gas will be:
= $2.30 × 812
= $1867.60
This week, he bought 4310 gallons of gas at $2.70 per gallon. The cost will be:
= $2.70 × 4310
= $11637
The total cost will be:
= $1867.60 + $11637
= $13504.60
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A rectangle is dialated using a scale factor of 6. The image is then dilated using a scale factor of one thirds. What scale factor could you use to dilate the original rectangle to get the final rectangle? Explain
Answer:
If this rectangle is dilated using a scale factor of One-half through point B, what is the result?
Point B is the bottom left corner of rectangle X.
Step-by-step explanation:
Put these in order from Least to greatest.
-23/6, 8 7/12, √17, 8.6, 3√12, -2.18
MIA has a rectangle of cloth.she dips the top5/8 of cloth in blue dye.she dips the bottom 9/20 of the cloth in yellow dye.the part of cloth dips in both turns green.wirk out fraction that turns green.
Use the distributive property to expand the expression. 5(4r2 + 8s2) − (−3s + 5t)
Answer:
20r^2 + 40s^2 + 3s - 5t just took quiz
Step-by-step explanation:
A store sells 3 video tapes for $4.99 find the unit rate in dollars per videotape round to the nearest cent
The unit rate of video tape is $1.66.
What is division?One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
Repetitive subtraction is the process of division. It operates in the opposite direction of multiplication.
Given cost of 3 video tapes = $4.99
to find the cost of 1 tape,
we can calculate by using division method
cost of 1 tape = 4.99/3
cost of 1 tape = 1.66333
cost of 1 tape = $1.66
Hence the cost is $1.66.
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What is 6² in expanded form?
A. 36
B. 12
C. 2 × 2 × 2 × 2 × 2 × 2
D. 6 × 6
Is it D I'm not sure?
Madvi was playing a card game with her friends. Each time she played Madvi Lost 13 points. If Madvi played 5 rounds, how many points did she lose overall?